document.write( "Question 251660: The product of two two-digit numbers is 1484. The product of their units digits is 24 and the product of their tens digits is 10. The two numbers can be? \n" ); document.write( "
Algebra.Com's Answer #183382 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! (10a+b)*(10c+d)=1484 \n" ); document.write( "b*d=24 \n" ); document.write( "a*c=10 \n" ); document.write( "There is not enough info to form 4 equations \n" ); document.write( "but we know that b*d=24 \n" ); document.write( "there are only two possible single digit factors\r \n" ); document.write( "\n" ); document.write( "6*4=24 \n" ); document.write( "8*3=24\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a=2 or a=5 \n" ); document.write( "c=2 or c=5 \n" ); document.write( "b=6 or b=4 \n" ); document.write( "d=6 or d=4 \n" ); document.write( "b=8 or b=3 \n" ); document.write( "d=8 or d=3 \n" ); document.write( "from our equations we know \n" ); document.write( "b = 4 a so must be 8 and a must be 2 \n" ); document.write( "8=4*2 \n" ); document.write( "a=2 c=5 \n" ); document.write( "if a=2 then c must be 5 \n" ); document.write( "if b is 4 then d must be 6\r \n" ); document.write( "\n" ); document.write( "a*c=10 \n" ); document.write( "b=8 d=3 \n" ); document.write( "b*d=24 \n" ); document.write( "(10a+b)*(10c+d)=1484 \n" ); document.write( "28*53=1484\r \n" ); document.write( "\n" ); document.write( "so the two numbers are 28 and 53 \n" ); document.write( "2*5=10 \n" ); document.write( "8*3=24 \n" ); document.write( " \n" ); document.write( " |